#!/usr/bin/env python3 """Agent for implementing zero-knowledge proof authentication using Schnorr protocol.""" import hashlib import secrets import json import argparse from datetime import datetime # Safe prime and generator for discrete log ZKP SAFE_PRIME = 0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF6955817183995497CEA956AE515D2261898FA051015728E5A8AACAA68FFFFFFFFFFFFFFFF GENERATOR = 2 def generate_keypair(): """Generate a ZKP key pair (private key x, public key y = g^x mod p).""" x = secrets.randbelow(SAFE_PRIME - 2) + 1 y = pow(GENERATOR, x, SAFE_PRIME) print(f"[*] Generated key pair") print(f" Public key (y): {hex(y)[:40]}...") return x, y def schnorr_prove(private_key): """Generate a Schnorr ZKP proof (commitment, challenge, response).""" k = secrets.randbelow(SAFE_PRIME - 2) + 1 r = pow(GENERATOR, k, SAFE_PRIME) # Fiat-Shamir heuristic: non-interactive challenge c_input = f"{GENERATOR}{r}{pow(GENERATOR, private_key, SAFE_PRIME)}" c = int(hashlib.sha256(c_input.encode()).hexdigest(), 16) % SAFE_PRIME s = (k - c * private_key) % (SAFE_PRIME - 1) return {"commitment": r, "challenge": c, "response": s} def schnorr_verify(public_key, proof): """Verify a Schnorr ZKP proof without learning the private key.""" r, c, s = proof["commitment"], proof["challenge"], proof["response"] lhs = pow(GENERATOR, s, SAFE_PRIME) * pow(public_key, c, SAFE_PRIME) % SAFE_PRIME valid = lhs == r print(f" [{'+'if valid else '!'}] Verification: {'PASSED' if valid else 'FAILED'}") return valid def zkp_password_register(password): """Register a password using ZKP (server stores only public key).""" salt = secrets.token_hex(16) pwd_hash = hashlib.pbkdf2_hmac("sha256", password.encode(), salt.encode(), 100000) x = int.from_bytes(pwd_hash, "big") % (SAFE_PRIME - 2) + 1 y = pow(GENERATOR, x, SAFE_PRIME) print(f"[*] Registered user (server stores salt + public key, never the password)") return {"salt": salt, "public_key": y, "private_key": x} def zkp_password_authenticate(password, registration): """Authenticate using ZKP (prove password knowledge without revealing it).""" salt = registration["salt"] pwd_hash = hashlib.pbkdf2_hmac("sha256", password.encode(), salt.encode(), 100000) x = int.from_bytes(pwd_hash, "big") % (SAFE_PRIME - 2) + 1 proof = schnorr_prove(x) valid = schnorr_verify(registration["public_key"], proof) return valid def run_protocol_demo(rounds=5): """Demonstrate ZKP authentication protocol with multiple rounds.""" print("[*] ZKP Schnorr Protocol Demo\n") x, y = generate_keypair() successes = 0 for i in range(rounds): print(f"\n[*] Round {i+1}/{rounds}") proof = schnorr_prove(x) if schnorr_verify(y, proof): successes += 1 print(f"\n[*] Protocol: {successes}/{rounds} rounds passed") print(f"[*] Completeness: {'VERIFIED' if successes == rounds else 'FAILED'}") # Soundness test: wrong key should fail wrong_x = secrets.randbelow(SAFE_PRIME - 2) + 1 wrong_proof = schnorr_prove(wrong_x) forgery = schnorr_verify(y, wrong_proof) print(f"[*] Soundness (wrong key rejected): {'VERIFIED' if not forgery else 'FAILED'}") return successes == rounds and not forgery def run_password_demo(password="SecureP@ss123"): """Demonstrate ZKP password authentication.""" print("\n[*] ZKP Password Authentication Demo\n") reg = zkp_password_register(password) print("\n[*] Authenticating with correct password...") ok = zkp_password_authenticate(password, reg) print(f" Result: {'Authenticated' if ok else 'Rejected'}") print("\n[*] Authenticating with wrong password...") bad = zkp_password_authenticate("WrongPassword", reg) print(f" Result: {'Authenticated' if bad else 'Rejected'}") return ok and not bad def main(): parser = argparse.ArgumentParser(description="Zero-Knowledge Proof Authentication Agent") parser.add_argument("action", choices=["demo-protocol", "demo-password", "keygen", "full-test"]) parser.add_argument("--rounds", type=int, default=5, help="Protocol verification rounds") parser.add_argument("--password", default="SecureP@ss123", help="Password for ZKP demo") parser.add_argument("-o", "--output", default="zkp_report.json") args = parser.parse_args() report = {"date": datetime.now().isoformat(), "action": args.action} if args.action == "keygen": x, y = generate_keypair() report["public_key"] = hex(y) elif args.action == "demo-protocol": report["protocol_valid"] = run_protocol_demo(args.rounds) elif args.action == "demo-password": report["password_auth_valid"] = run_password_demo(args.password) elif args.action == "full-test": report["protocol_valid"] = run_protocol_demo(args.rounds) report["password_auth_valid"] = run_password_demo(args.password) with open(args.output, "w") as f: json.dump(report, f, indent=2, default=str) print(f"\n[*] Report saved to {args.output}") if __name__ == "__main__": main()